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Snowcat [4.5K]
3 years ago
9

Solve using the fundamental theorem of algerba

Mathematics
1 answer:
Olin [163]3 years ago
5 0

Answer:

No. of x-intercepts is equal to the no. of distinct species factors of a polynomial

Since this curve has only one distinct factor i.e (x+7)

The only x-intercepts is -7

(-7,0)

Y intercept would be at (0+7)⁷

Which is (0,7⁷)

Or (0,823543)

Since it's an odd power, branch of the curve for x > 7 would approach positive infinity

Branch for x < 7 would approach negative infinity

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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad
diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0
3 years ago
alisson separates her 23 stickers into 4 equal piles.how many stickers does she have left over? A27 B 19 C 5 D 3
klemol [59]

We need to find the remainder- the sticker left over

Divide 23 stickers into 4 piles = 23/4= 5 stickers per pile and 3 stickers left over

D. She would have 3 stickers left over

6 0
3 years ago
What is the equation of the line that passes through the point (-5,1) and has a slope of -1/5?
olchik [2.2K]

Answer:

x + 5y = 0

Step-by-step explanation:

y = mx + b

y = -1/5 x + b

1 = -1/5 (-5) + b

1 = 1 + b

b = 0

y = -1/5 x

5y = -x

x + 5y = 0

4 0
3 years ago
I need help for the equation 24 tenths - 1 one 3 tenth, Please and thank you!! :-)
Angelina_Jolie [31]

Answer: 1.1

Step-by-step explanation:

2.4 - 1.3 = 1.1

3 0
3 years ago
How do I do this I need help right now
kodGreya [7K]
To answer this (specifically the first one) you have to count how many spaces each point moves. (How many spaces up/down does it go? Left/right?) then you put rise (up/down) over run (left/right) and you should get the slope!
6 0
2 years ago
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